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## Main Question or Discussion Point

Hi all! I've just finished writing a program in python that determines the position of a rocket in the earth moon system. Initially it is in circular orbit around the earth and then it is given a velocity boost at some point in it's orbit to make it travel to the moon.

I started all 3 bodies on the x axis with the earth at the left of the system's centre of mass (COM) and the moon at the right. the rocket is between the earth and moon and therefore lies to the right of the COM and all travel anti-clockwise.

I devised the initial velocity of the rocket using v=sqrt(G*mass of earth/radius of rocket) but it's just occured to me that it maybe should have been adjusted slightly as the earth has a small rotation in the same direction as the rocket around the system's COM.

Should the earth's angular velocity be added (or taken away) from the initial velocity of the rocket in orbit? and does the moon affect the initial velocity?

It's been puzzling me all day so any comments would be appreciated!

I started all 3 bodies on the x axis with the earth at the left of the system's centre of mass (COM) and the moon at the right. the rocket is between the earth and moon and therefore lies to the right of the COM and all travel anti-clockwise.

I devised the initial velocity of the rocket using v=sqrt(G*mass of earth/radius of rocket) but it's just occured to me that it maybe should have been adjusted slightly as the earth has a small rotation in the same direction as the rocket around the system's COM.

Should the earth's angular velocity be added (or taken away) from the initial velocity of the rocket in orbit? and does the moon affect the initial velocity?

It's been puzzling me all day so any comments would be appreciated!